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1 results

  • The queue with impatience: construction of the stationary workload under FIFO

  • Part of
  • Pascal Moyal
  • Journal:
    Journal of Applied Probability / Volume 47 / Issue 2 / June 2010
    Published online by Cambridge University Press:
    14 July 2016, pp. 498-512
    Print publication:
    June 2010
    • Article
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  • In this paper we study the stability of queueing systems with impatient customers and a single server operating under a FIFO (first-in-first-out) discipline. We first give a sufficient condition for the existence of a stationary workload in the case of impatience until the beginning of service. We then provide a weaker condition of existence on an enriched probability space using the theory of Anantharam et al. (1997), (1999). The case of impatience until the end of service is also investigated.